The number 13349
13349 is a composite number with 4 divisors. Its prime factorisation is 7 × 1907. Divisors (4): 1, 7, 1907, 13349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13349: a semiprime: 7 × 1907, the product of two primes.
- 2
13349 is composite. Its prime factorisation is
- 3
The divisors add up to 15264; without 13349 itself that is 1915, so 13349 is deficient (1915 is less than 13349). Euler's totient φ(13349) = 11436 numbers up to 13349 share no factor with it.
- 4
The digits of 13349 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13349 = 7 \times 1907 \]
13349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15264 |
| Euler totient φ(n) | 11436 |
| Square | 178195801 |
| Cube | 2378735747549 |
| Square root | 115.537873 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3349 × |
13349 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and forty-nine |
| Binary (base 2) | 11010000100101 |
| Octal (base 8) | 32045 |
| Hexadecimal (base 16) | 3425 |
| Base 3 | 200022102 |
| As time | 13349 seconds = 3 h 42 min 29 s |
Is 13349 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13349 ÷ 7 = 1907) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13349 a prime number?
No. 13349 = 7 × 1907, so it is divisible by 7.
What are the factors of 13349?
1, 7, 1907, 13349.
What is 13349 in binary?
11010000100101 (hexadecimal 3425, octal 32045).
What is the square root of 13349?
About 115.5379.
Is 13349 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13349?
13349 is a semiprime: 7 × 1907, the product of two primes.